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masha68 [24]
3 years ago
6

10. write the ratio in fraction as simplest form . 40gal : 72 gal​

Mathematics
1 answer:
kari74 [83]3 years ago
3 0

Answer:

40 gal / 72 gal

lets reduce

20 / 36

(yeah, the gal reduce away as well)

reduce further

10/18

and further

5/9

done :)

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In this particular arithmetic sequence, a8 = 28 and a16 = 108. What is the value of a24?
kap26 [50]
In this sequence d=10. Therefore, a24=188.
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Explain why you would make one of the addends a tens number
saveliy_v [14]
What does that mean?
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Design a sine function with the given properties:
Rom4ik [11]

Answer:

f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13.

Step-by-step explanation:

Given information:

Period = 24 hr

Maximum = 16 at t=16 hr.

Minimum = 10 at t=4 hr.

The general sin function is

y=A+\sin(B(x-C))+D        .... (1)

where, |A| is altitude, \frac{2\pi}{B} is period, C is phase shift and D is midline.

Period is 24 hr.

24=\dfrac{2\pi}{B}\Rightarrow B=\dfrac{\pi}{12}

Altitude is

A=\dfrac{Maximum-Minimum}{2}=\dfrac{16-10}{2}=3

D=\dfrac{Maximum+Minimum}{2}=\dfrac{16+10}{2}=13

The function is minimum at t=4 and maximum at t=16,phase shift is

C=\dfrac{16+4}{2}=10

Substitute these values in equation (1).

y=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13

Therefore, the required function is f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13.

8 0
3 years ago
Solve the inequality –1 > –2(x – 4) – 5(4x – 7).
Ksivusya [100]

Answer:

x > 2

Step-by-step explanation:

–1 > –2(x – 4) – 5(4x – 7)

–1 > –2x  + 8 –20x + 35

–1 >  - 22x + 43

- 1 - 43 >  - 22x

- 44 >  - 22x

\frac{ - 44}{ - 22}   <   \frac{ - 22x}{ - 22}

2 < x

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5 0
3 years ago
A rectangle and a triangle with the same base and height have the same area.
OverLord2011 [107]
The answer is false because if you attach to triangles together in a way so that the figure would have 4 straight lines, you will get a rectangle. that means half of a rectangle is a triangle, so the area of both cannot be the same even if they have the same base and height.


for example the base and height of both is 3cm and 5cm.

area of the rectangle then would be,
area= base× height
=3cm×5cm=15cmsquared

then the area of the triangle would be,
area= base×height divided by 2
=3cm×5cm÷2= 7.5cm

so your answer is false
hope this helps....
5 0
3 years ago
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